338484288 has 224 divisors, whose sum is σ = 1000719360. Its totient is φ = 100638720.

The previous prime is 338484217. The next prime is 338484329. The reversal of 338484288 is 882484833.

It is a happy number.

338484288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338484288² = 229143226445733888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6386470 + ... + 6386522.

Almost surely, 2^338484288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500359680).

338484288 is an abundant number, since it is smaller than the sum of its proper divisors (662235072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338484288 is a wasteful number, since it uses less digits than its factorization.

338484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 338484288 is about 18397.9424936594. The cubic root of 338484288 is about 696.9145066733.

The spelling of 338484288 in words is "three hundred thirty-eight million, four hundred eighty-four thousand, two hundred eighty-eight".